composition relation of $R^3$

Asked May 25 '21 at 03:44

Active May 25 '21 at 03:44

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I need verification if my answer is right in this composition of relations problem.

If A = {1,2,3} and Let R = {(1,2), (1,3), (2,2), (3,3)} be a relation from set A to set A. What would be the relation of $R^3$?

My answer is {(1,2),(1,3),(2,2),(3,3)}. Thank you!

asked May 25 '21 at 03:44

zultz

1

That is correct. Transitive relations are unchanged by composition with themselves. – Paul Sinclair May 25 '21 at 16:56
Okay. Thank you! – zultz May 28 '21 at 18:02

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